# beta function

beta function
Math.
a function of two variables, usually expressed as an improper integral and equal to the quotient of the product of the values of the gamma function at each variable divided by the value of the gamma function at the sum of the variables.
[1885-90]

Useful english dictionary. 2012.

### Look at other dictionaries:

• Beta function — This article is about Euler beta function. For other uses, see Beta function (disambiguation). In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for The beta function was studied …   Wikipedia

• Beta-function — In theoretical physics, specifically quantum field theory, a beta function β(g) encodes the dependence of a coupling parameter, g, on the energy scale, mu of a given physical process. It is defined by the relation:::eta(g) = mu,frac{partial… …   Wikipedia

• beta function — Math. a function of two variables, usually expressed as an improper integral and equal to the quotient of the product of the values of the gamma function at each variable divided by the value of the gamma function at the sum of the variables.… …   Universalium

• Dirichlet beta function — This article is about the Dirichlet beta function. For other beta functions, see Beta function (disambiguation). In mathematics, the Dirichlet beta function (also known as the Catalan beta function) is a special function, closely related to the… …   Wikipedia

• Beta — may refer to: *Beta (β), the second letter of the Greek alphabetIn finance: * Beta coefficient in Capital Asset Pricing ModelIn mathematics: * Beta function in mathematics * Beta distribution in statistics * False negative rate in statistics *… …   Wikipedia

• Beta integral — may refer to:*beta function *Barnes beta integral …   Wikipedia

• Beta distribution — Probability distribution name =Beta| type =density pdf cdf parameters =alpha > 0 shape (real) eta > 0 shape (real) support =x in [0; 1] ! pdf =frac{x^{alpha 1}(1 x)^{eta 1 {mathrm{B}(alpha,eta)}! cdf =I x(alpha,eta)! mean… …   Wikipedia

• Beta wavelet — Continuous wavelets of compact support can be built [1] , which are related to the beta distribution. The process is derived from probability distributions using blur derivative. These new wavelets have just one cycle, so they are termed unicycle …   Wikipedia

• Beta prime distribution — Probability distribution name =Beta Prime| type =density pdf cdf parameters =alpha > 0 shape (real) eta > 0 shape (real) support =x > 0! pdf =f(x) = frac{x^{alpha 1} (1+x)^{ alpha eta{B(alpha,eta)}! cdf =frac{x^alpha cdot 2F 1(alpha,… …   Wikipedia

• Beta-catenin — is a subunit of the cadherin protein complex. In Drosophila , the homologous protein is called armadillo . Beta catenin has been implicated as an integral component in the Wnt signaling pathway.It can function as an oncogene.cite journal… …   Wikipedia